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550224216441 = 368323312
BaseRepresentation
bin10000000000110111110…
…10110100000101111001
31221121020001221021000000
420000123322310011321
533003324344411231
61100434114303213
754516032446344
oct10003372640571
91847201837000
10550224216441
111a2392253699
128a778b87b09
133cb694a3443
141c8b963b45b
15e4a50176e6
hex801beb4179

550224216441 has 63 divisors (see below), whose sum is σ = 837548290677. Its totient is φ = 361301818680.

The previous prime is 550224216343. The next prime is 550224216449. The reversal of 550224216441 is 144612422055.

The square root of 550224216441 is 741771.

It is a perfect power (a square), and thus also a powerful number.

550224216441 is a `hidden beast` number, since 5 + 5 + 0 + 2 + 2 + 4 + 2 + 1 + 644 + 1 = 666.

It is not a de Polignac number, because 550224216441 - 27 = 550224216313 is a prime.

It is a super-2 number, since 2×5502242164412 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 550224216396 and 550224216405.

It is not an unprimeable number, because it can be changed into a prime (550224216449) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1662308646 + ... + 1662308976.

Almost surely, 2550224216441 is an apocalyptic number.

550224216441 is the 741771-st square number.

550224216441 is the 370886-th centered octagonal number.

It is an amenable number.

550224216441 is a deficient number, since it is larger than the sum of its proper divisors (287324074236).

550224216441 is an frugal number, since it uses more digits than its factorization.

550224216441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Multiplying 550224216441 by its sum of digits (36), we get a square (19808071791876 = 44506262).

Adding to 550224216441 its reverse (144612422055), we get a palindrome (694836638496).

The spelling of 550224216441 in words is "five hundred fifty billion, two hundred twenty-four million, two hundred sixteen thousand, four hundred forty-one".

Divisors: 1 3 9 27 81 83 243 249 331 729 747 993 2241 2979 6723 6889 8937 20169 20667 26811 27473 60507 62001 80433 82419 109561 186003 241299 247257 328683 558009 741771 986049 1674027 2225313 2280259 2958147 5022081 6675939 6840777 8874441 9093563 20027817 20522331 26623323 27280689 61566993 79869969 81842067 184700979 245526201 554102937 736578603 754765729 1662308811 2209735809 2264297187 6629207427 6792891561 20378674683 61136024049 183408072147 550224216441